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Finding the Fourth Proportional to 3,190.15, 4,785.81 and 998.38

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Solution

The fourth proportional to 3,190.15, 4,785.81 and 998.38 is: 1,497.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.15 : 4,785.81 = 998.38 : x
  2. Step 2: Convert to fraction form
    3,190.15/4,785.81 = 998.38/x
  3. Step 3: Cross multiply
    3,190.15x = 4,785.81 × 998.38
  4. Step 4: Simplify right side
    3,190.15x = 4,778,056.99
  5. Step 5: Solve for x
    x = 4,778,056.99/3,190.15
  6. Step 6: Final answer
    x = 1,497.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.